• 제목/요약/키워드: M.P.S.

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POSITIVE SOLUTIONS FOR MULTIPOINT BOUNDARY VALUE PROBLEMS WITH ONE-DIMENSIONAL p-LAPLACIAN OPERATOR

  • Xu, Fuyi;Meng, Zhaowei;Zhao, Wenling
    • Journal of applied mathematics & informatics
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    • 제26권3_4호
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    • pp.457-469
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    • 2008
  • In this paper, we study the existence of positive solutions for the following nonlinear m-point boundary value problem with p-Laplacian: $\{{{{(\phi_p(u'))'\;+\;f(t,u(t))=0, \;0<t<1,} \atop u'(0)={\sum}{^{m-2}_{i=1}}\;a_iu'(\xi_i),} \atop u(1)={\sum}{^k_{i=1}}\;b_iu(\xi_i)\;-\;{\sum}{^s_{i=k+1}}\;b_iu(\xi_i)\;-\;{\sum}{^{m-2}_{i=s+1}}\;b_iu'(xi_i),}$ where ${\phi}_p(s)$ is p-Laplacian operator, i.e., ${\phi}_p(s)=\mid s\mid^{p-2}s$, p>1, ${\phi}_q\;=\;({\phi}_p)^{-1}$, $\frac{1}{p}+\frac{1}{q}=1$, $1\;{\leq}\;k\;{\leq}\;s\;{\leq}m\;-\;2$, $b_i\;{\in}\;(0,+{\infty})$ with $0\;<\;{\sum}{^k_{k=1}}\;b_i\;-\;{\sum}{^s_{i=k+1}}\;b_i\;<\;1$, $0\;<\;{\sum}{^{m-2}_{i=1}}\la_i\;<\;1$, $0\;<\;{\xi}_1\;<\;{\xi}_2\;<\;{\cdots}\;<\;{\xi}_{m-2}\;<\;1$, $f\;{\in}\;C([0,\;1]\;{\times}\;[0,\;+{\infty}),\;[0,\;+{\infty}))$. We show that there exists one or two positive solutions by using fixed-point theorem for operator on a cone. The conclusions in this paper essentially extend and improve the known results.

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TTAB 용액에서 p-브로모페놀의 가용화와 TTAB의 미셀화와의 상관관계에 대한 연구 (Relationship between the Micellization of TTAB and the Solubilization of p-Bromophenol in TTAB Solution)

  • 이병환
    • 대한화학회지
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    • 제57권6호
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    • pp.665-671
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    • 2013
  • TTAB(tetradecyltrimethylammonium bromide)의 미셀화와 그 용액에서 p-브로모페놀의 가용화 현상을 UV-vis 분광광도법을 이용하여 동시에 연구하였다. 열역학적 연구를 위해 온도의 변화가 가용화와 미셀화에 어떤 영향을 미치는지를 분석하였다. 그 결과 p-브로모페놀의 가용화에 대한 ${\Delta}G_s{^o}$${\Delta}H_s{^o}$ 값은 측정범위 내에서 모두 음의 값을 그리고 ${\Delta}S_s{^o}$ 값은 양의 값을 나타내었다. 그러나 TTAB의 미셀화에 대한 ${\Delta}G_m{^o}$ 값은 모두 음의 값을 그리고 ${\Delta}H_m{^o}$${\Delta}S_m{^o}$ 값은 모두 양의 값을 나타내었다. 또한 p-브로모페놀의 가용화와 TTAB의 미셀화에 미치는 n-부탄올과 NaCl의 효과를 조사하였으며, 두 현상의 상관관계에 대해서 조사하였다. 이러한 결과들로부터 p-브로모페놀이 미셀의 어느 부분에 가용화되는지를 확인할 수 있었다.

[Lp] ESTIMATES FOR A ROUGH MAXIMAL OPERATOR ON PRODUCT SPACES

  • AL-QASSEM HUSSAIN MOHAMMED
    • 대한수학회지
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    • 제42권3호
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    • pp.405-434
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    • 2005
  • We establish appropriate $L^p$ estimates for a class of maximal operators $S_{\Omega}^{(\gamma)}$ on the product space $R^n\;\times\;R^m\;when\;\Omega$ lacks regularity and $1\;\le\;\gamma\;\le\;2.\;Also,\;when\;\gamma\;=\;2$, we prove the $L^p\;(2\;{\le}\;P\;<\;\infty)\;boundedness\;of\;S_{\Omega}^{(\gamma)}\;whenever\;\Omega$ is a function in a certain block space $B_q^{(0,0)}(S^{n-1}\;\times\;S^{m-1})$ (for some q > 1). Moreover, we show that the condition $\Omega\;{\in}\;B_q^{(0,0)}(S^{n-1}\;\times\;S^{m-1})$ is nearly optimal in the sense that the operator $S_{\Omega}^{(2)}$ may fail to be bounded on $L^2$ if the condition $\Omega\;{\in}\;B_q^{(0,0)}(S^{n-1}\;\times\;S^{m-1})$ is replaced by the weaker conditions $\Omega\;{\in}\;B_q^{(0,\varepsilon)}(S^{n-1}\;\times\;S^{m-1})\;for\;any\;-1\;<\;\varepsilon\;<\;0.$

Effect of Sodium Bicarbonate Injection in Pre-rigor Porcine M. Longissimus lumborum on Pork Quality

  • Yang, H.S.;Moon, S.S.;Jeong, J.Y.;Choi, S.G.;Joo, S.T.;Park, G.B.
    • Asian-Australasian Journal of Animal Sciences
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    • 제19권6호
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    • pp.898-904
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    • 2006
  • Effects of sodium bicarbonate (SBC) injection on meat quality and functionality of porcine M. longissimus lumborum were investigated. Fifteen pigs ($100{\pm}5kg$) were randomly selected at a commercial slaughter plant. After slaughtering the loins were dissected from the carcass before chilling at approximately 30 minutes post mortem. The loins were divided into four cuts for sample treatment, and SBC of 0.25 M, 0.40 M and 0.75 M was injected (2% w/w) using a syringe. As SBC injection level was increased, muscle pH increased significantly (p<0.05). SBC injection decreased lightness ($L^*$) values on the surface of muscle. Moreover, with injection of SBC, drip loss %, cooking loss % and shear force were significantly (p<0.05) decreased, whereas WHC and $Na^+$ content were significantly (p<0.05) increased. From panel testing of uncooked pork loin, no significant differences (p>0.05) were found in aroma, off-flavor and drip between injection of SBC at different levels and the control, although color and acceptability were significantly lower (p<0.05) in control pork loin compare with injection of SBC at 0.75 M. In cooked pork loin from the panel test, aroma, flavour, off-flavour and juiciness were found to be similar (p>0.05) on all treatments, but tenderness and acceptability were significantly higher (p<0.05) with injection of SBC at 0.75 M than for control loin. Myofibrillar protein solubility of muscles treated with SBC was significantly (p<0.05) higher than that of the control, although no significant differences (p>0.05) were found in sarcoplasmic protein solubility between the treatments. These results indicated that SBC injection into pre-rigor porcine M. longissimus lumborum could improve ultimate pork quality characteristics such as meat color, water-holding capacity, and could inhibit muscle protein denaturation due to an increase in muscle pH.

DEPTOR Expression Negatively Correlates with mTORC1 Activity and Tumor Progression in Colorectal Cancer

  • Lai, Er-Yong;Chen, Zhen-Guo;Zhou, Xuan;Fan, Xiao-Rong;Wang, Hua;Lai, Ping-Lin;Su, Yong-Chun;Zhang, Bai-Yu;Bai, Xiao-Chun;Li, Yun-Feng
    • Asian Pacific Journal of Cancer Prevention
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    • 제15권11호
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    • pp.4589-4594
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    • 2014
  • The mammalian target of rapamycin (mTOR) signaling pathway is upregulated in the pathogenesis of many cancers, including colorectal cancer (CRC). DEPTOR is an mTOR inhibitor whose expression is negatively regulated by mTOR. However, the role of DEPTOR in the development of CRC is not known. The aim of this study was to investigate the expression of DEPTOR and mTORC1 activity (P-S6) in a subset of CRC patients and determine their relation to tumor differentiation, invasion, nodal metastasis and disease-free survival. Here, Immunohistochemical expression of P-S6 (S235/236) and DEPTOR were evaluated in 1.5 mm tumor cores from 90 CRC patients and in 90 samples of adjacent normal mucosa by tissue microarray. The expression of P-S6 (S235/236) was upregulated in CRC, with the positive rate of P-S6 (S235/236) in CRC (63.3%) significantly higher than that in control tissues (36.7%, 30%) (p<0.05). P-S6 (S235/236) also correlated with high tumor histologic grade (p=0.002), and positive nodal metastasis (p=0.002). In contrast, the expression level of DEPTOR was correlated with low tumor histological grade (p=0.006), and negative nodal metastasis (p=0.001). Interestingly, P-S6 (S235/236) expression showed a significant negative association with the expression of DEPTOR in CRC (p=0.011, R= -0.279). However, upregulation of P-S6 (S235/236) (p=0.693) and downregulation of DEPTOR (p=0.331) in CRC were not significantly associated with overall survival. Thus, we conclude that expression of DEPTOR negatively correlates with mTORC1 activity and tumor progression in CRC. DEPTOR is a potential marker for prognostic evaluation and a target for the treatment of CRC.

(2-(6-Methyl-2-P-tolyl-lH-imidazo[1,2-a]pyridin-3-yl)핵종을 가지고 있는 불소화된 아조화합물의 합성과 항균활성의 스크리닝 (Synthesis and Antimicrobial Screening of Some Fluorinated Azoles Containing (2-(6-Methyl-2-P-tolyl-lH-imidazo[1,2-a]pyridin-3-yl) Nucleus)

  • Shelke, Sharad;Salunkhe, Nilesh;Sangale, Sandeep;Bhalerao, Swapnil;Naik, Nilesh;Mhaske, Ganesh;Jadhav, Ranjana;Karale, Bhausaheb
    • 대한화학회지
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    • 제54권1호
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    • pp.59-64
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    • 2010
  • 일련의 불소화된 티아디아졸 3, 트리아졸 4, 그리고 옥사디아졸 5이 (2-(6-Methyl-2-P-tolyl-lH-imidazo[1,2-a]pyridin-3-yl)핵종을 가지고 있는 티오세미카르바지드로 부터 합성되어진다. 초음파조사 방법 뿐만 아니라 일반적인 방법에 의해 반응이 진행되었다. 모든 생성물들은 IR, 1H NMR, MS로 구조가 결정되었고, 이들 화합물의 항균활성을 스크닝하였다.

GENERALIZATION OF THE FROBENIUS THEOREM ON INVOLUTIVITY

  • Han, Chong-Kyu
    • 대한수학회지
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    • 제46권5호
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    • pp.1087-1103
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    • 2009
  • Given a system of s independent 1-forms on a smooth manifold M of dimension m, we study the existence of integral manifolds by means of various generalized versions of the Frobenius theorem. In particular, we present necessary and sufficient conditions for there to exist s'-parameter (s' < s) family of integral manifolds of dimension p := m-s, and a necessary and sufficient condition for there to exist integral manifolds of dimension p', p' $\leq$ p. We also present examples and applications to complex analysis in several variables.

마늘 물추출물의 Escherichia coli O157:H7, Salmonella typhimurium, Staphylococcus aureus에 대한 항균활성 (Antibacterial Activity of Aqueous Garlic Extract Against Escherichia coli O157:H7, Salmonella typhimurium and Staphylococcus aureus)

  • 이승윤;남상현;이현정;손송이;이후장
    • 한국식품위생안전성학회지
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    • 제30권2호
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    • pp.210-216
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    • 2015
  • 본 연구는 마늘의 물추출물(AGE)의 E. coli O157:H7, S. typhimurium, 그리고 S. aureus에 대한 항균효과를 조사하였다. AGE의 E. coli O157:H7, S. typhimurium, and S. aureus에 대한 최소억제농도(MIC)는 각각 24, 48 그리고 24 mg/mL이었으며, 최소살균농도(MBC)는 모든 균에 대하여 96 mg/mL이었다. AGE 24 mg/mL을 E. coli O157:H7에 투여하고 배양 24시간 후에, 균의 증식이 무처리 대조군과 비교하여 유의성 있게 감소하였다(p < 0.01). 그러나 AGE 24 mg/mL을 S. aureus에 투여하고 배양 24시간 후에, 대조군과 비교하여 유의성 있는 균의 증식억제 효과가 나타나지 않았으나, AGE 96 mg/mL을 투여한 경우에서는 배양 24시간 후에 대조군과 비교하여 유의성 있는 균의 증식억제가 나타났다(p < 0.01). AGE 48 (p < 0.05)과 96 mg/mL (p < 0.001)을 S. typhimurim에 투여하고 24시간 배양 후에, 대조군과 비교하여 통계적으로 유의성 있는 균의 증식억제 효과가 나타났다. 본 연구의 결과로부터, 마늘의 물추출물은 항생제와 화학적 식품보존제의 대체제로서 사용이 가능할 것으로 사료된다.

혈관수축에 대한 감초산 Glycyrrhizic acid의 효과 (The Effect of Glycyrrhizic acid on Vascular Contractility)

  • 제현동;민영실
    • 산업융합연구
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    • 제21권10호
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    • pp.57-63
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    • 2023
  • 평활근 수축에 대한 감초산(glycyrrhizic acid)의 효과를 연구하고자 하였고 관련 상세 기전을 결정하기 위해 glycyrrhizic acid가 agonist-sensitive하게 평활근 수축한다는 가설을 제시하였다. S/D rats의 평활근을 수조 내 준비하였고 신호 변환기에서 평활근에 의한 운동 신호가 전기적 신호로 변환되어 생리기록기에 표시되는 데이터는 일원배치 분산분석으로 분석하였다. 재미있게도, 감초산은 불화물, 트롬복산 유사체 등 굵은 미세섬유성 조절성 수축제에 의한 평활근 수축을 중등도로 억제하였고 (농도 0.01, 0.03, 0.1 mM 불화물에서 p=0.113, 0.008, 0.004 (Student's t-test), p=0.113, 0.008, 0.004 (One way ANOVA), 그리고 0.01, 0.03, 0.1 mM 트롬복산 유사체에서 p=0.156, 0.004, 0.003 (Student's t-test), p=0.156, 0.004, 0.003 (One way ANOVA)) 포볼 에스테르 등 가는 미세섬유성 조절성 수축제에 의한 평활근 수축에 대해 효과가 소실되었다 (0.01, 0.03, 0.1 mM 포볼 에스테르에서 p=0.392, 0.086, 0.065 (Student's t-test), p=0.392, 0.086, 0.065 (One way ANOVA)). 이러한 결과는 내피 기능이 억제된 평활근에서 감초산은 평활근 내피에서 EDRF (NO) 생성 효과 외에 주로 ROCK 활성 감소 등 평활근에 대한 직접적 효과를 통해 최종적으로 평활근에서 악틴-미오신 상호작용을 제한하여 평활근을 이완시키는 것으로 생각된다.

"점오염원과 면오염원의 대기환경영향 분석"에 대하여 (Comments on "Air Quality Impact Analysis of Point and Area Sources")

  • 김영성
    • 한국대기환경학회지
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    • 제9권3호
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    • pp.255-256
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    • 1993
  • Recently, Ghim and Son (1993) compared the air quality impacts of two point sources P1 and P3 in Seoul in the first quarter of 1988, whose emission rates were 99.9g/s and 49.4g/s, and whose stack heights were 75m and 21m. They said that higher concentrations from P3 in the nearby area were responsible for shorter stack height of P3. But concentrations were not raised so high only because the stack height was reduced from 75m to 21m. Volume of exit gas from P3 was also much smaller than that from P1.

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